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Finding the Fourth Proportional to 238,711.74, 358,077.33 and 98,457

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Solution

The fourth proportional to 238,711.74, 358,077.33 and 98,457 is: 147,689.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,711.74 : 358,077.33 = 98,457 : x
  2. Step 2: Convert to fraction form
    238,711.74/358,077.33 = 98,457/x
  3. Step 3: Cross multiply
    238,711.74x = 358,077.33 × 98,457
  4. Step 4: Simplify right side
    238,711.74x = 35,255,219,679.81
  5. Step 5: Solve for x
    x = 35,255,219,679.81/238,711.74
  6. Step 6: Final answer
    x = 147,689.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.